b^^y, b<1 and y<-2 to evaluate to the real number!??

[nuninho1980]

0.5^^(-4.3)~=4.03335... woww! but... is this result correct!?? (http://en.wikipedia.org/wiki/Tetration - you look with attention to "Polynomial approximations" -> "Examples: (...)")
if this number is correct then I ask if what is the better code of tetration (for mathematica, maple or other program math).

[bo198214]

0.5^^(-4.3)~=4.03335... woww! but... is this result correct!?? (http://en.wikipedia.org/wiki/Tetration - you look with attention to "Polynomial approximations" -> "Examples: (...)")
if this number is correct then I ask if what is the better code of tetration (for mathematica, maple or other program math).

linear approximation and higher order approximation are not holomorphic.